Quantum Chaos in a Yang–Mills–Higgs System

We study the energy fluctuations of a spatially homogeneous SU(2) Yang–Mills–Higgs system. In particular, we analyze the nearest-neighbour spacing distribution which shows a Wigner–Poisson transition by increasing the value of the Higgs field in the vacuum. This transition is a clear quantum signature of the classical chaos–order transition of the system.

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